505265313 has 24 divisors (see below), whose sum is σ = 829779552. Its totient is φ = 271737984.

The previous prime is 505265287. The next prime is 505265317. The reversal of 505265313 is 313562505.

It is not a de Polignac number, because 505265313 - 2¹⁰ = 505264289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505265317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98595 + ... + 103592.

It is an arithmetic number, because the mean of its divisors is an integer number (34574148).

Almost surely, 2^505265313 is an apocalyptic number.

It is an amenable number.

505265313 is a deficient number, since it is larger than the sum of its proper divisors (324514239).

505265313 is a wasteful number, since it uses less digits than its factorization.

505265313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202221 (or 202214 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 505265313 is about 22478.1074158836. The cubic root of 505265313 is about 796.4768576323.

The spelling of 505265313 in words is "five hundred five million, two hundred sixty-five thousand, three hundred thirteen".